On a very English (actually Cornish) level there's Charles Causley. He usually has the decency to employ both rhyme and meter.

Check out the late lamented Alex Atterson's arrangements of his poems, and also Leon Rosselson's setting of "Timothy Winters".

I've sung "Timothy Winters" and "The Ballad of Katherine of Aragon" for some thirty years in settings by an Australian called Mike Ball which I learned from another Aussie called Peter Parkhill when the world was young.

I also had the temerity to set "Cowboy Song" to a tune not a million miles from "On the Road to Fairfax County" by Dave Massengill(?) (cf The Roches version)

There are still plenty of others to go at, Causley is quite prolific and has been writing for some years.